Question

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Factor the expression completely:
16-40x^4

Answer 1

Answer: -8(5x^4-2)

Step-by-step explanation:

The greatest common factor of 16 and -40 is -8.

Answer 2

Answer:

- 8(5x^4 -2)

Step-by-step explanation:

Both can be simplified by 8.

• 16   -  40 x^4

• (8·2) - (8·5)x^4

Subtract the 2nd half of the equation to place it in the front. There becomes an addition sign in the front of (8·2) because 8 is positive, but 8 is still negative.

•     (8·2)     - (8·5)x^4
• - (8·5)x^4  +  (-8·2)

Then you'll factor out the only common number {-8} and then place the rest of the equation together. It remains a negative 8 because negative is more powerful than positive when they are factored together.

• - (8 ·5)x^4  +  (-8·2)

• - 8(5x^4 -2)